A022737 Expansion of Product_{m>=1} (1-m*q^m)^-13.
1, 13, 117, 832, 5109, 28054, 141401, 664287, 2943460, 12404535, 50050910, 194348193, 729316796, 2654041235, 9393084103, 32409549367, 109246771179, 360409934599, 1165521592456, 3699803142334
Offset: 0
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..1000
Programs
-
Magma
n:=50; R
:=PowerSeriesRing(Integers(), n); Coefficients(R!(&*[(1/(1-m*x^m))^13:m in [1..n]])); // G. C. Greubel, Jul 25 2018 -
Mathematica
With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^-13, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 25 2018 *) -
PARI
m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^-13)) \\ G. C. Greubel, Jul 25 2018